Question

3p -2 (2p - 5 ) = 2 (p + 3 ) - 8 please solve this question I will make you as brainlest ​

Answer 1

Answer:

p = 4

Step-by-step explanation:

Simplifying 3p + -2(2p + -5) = 2(p + 3) + -8 Reorder the terms: 3p + -2(-5 + 2p) = 2(p + 3) + -8 3p + (-5 * -2 + 2p * -2) = 2(p + 3) + -8 3p + (10 + -4p) = 2(p + 3) + -8 Reorder the terms: 10 + 3p + -4p = 2(p + 3) + -8 Combine like terms: 3p + -4p = -1p 10 + -1p = 2(p + 3) + -8 Reorder the terms: 10 + -1p = 2(3 + p) + -8 10 + -1p = (3 * 2 + p * 2) + -8 10 + -1p = (6 + 2p) + -8 Reorder the terms: 10 + -1p = 6 + -8 + 2p Combine like terms: 6 + -8 = -2 10 + -1p = -2 + 2p Solving 10 + -1p = -2 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 10 + -1p + -2p = -2 + 2p + -2p Combine like terms: -1p + -2p = -3p 10 + -3p = -2 + 2p + -2p Combine like terms: 2p + -2p = 0 10 + -3p = -2 + 0 10 + -3p = -2 Add '-10' to each side of the equation. 10 + -10 + -3p = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -3p = -2 + -10 -3p = -2 + -10 Combine like terms: -2 + -10 = -12 -3p = -12 Divide each side by '-3'. p = 4 Simplifying p = 4

Answer 2

$3p - 2(2p - 5) = 2(p + 3) - 8$

$3p - 4p + 10 = 2p + 6 - 8$

$- p + 10 = 2p - 2$

$- p - 2p = - 2 - 10$

$- 3p = - 12$

$p = 4$